Numerical Analysis Seminar

Wednesday, September 20, 2006

Speaker: Raycho Lazarov, Texas A&M University
Title: Hybridization of Discontinuous Galerkin FEM for Second Order Elliptic Problems
Time: 3:00-4:00 pm
Place: Blocker 628

Abstract

In the last several years B. Cockburn and J. Gopalakrishnan introduced a new hybridization technique for mixed FEM for second order elliptic equations. The main ideas of this technique combined with the the technique of lifting operators from the discontinuous Galerkin approximations led to a unified hybridization technique for discontinuous Galerkin (DG), mixed, nonconforming, and conforming finite element approximations of second order elliptic problems. In the talk we shall discuss this general hybridization framework for second order elliptic problems, which is characterized by
(1) the finite element spaces of the local solutions,
(2) the numerical traces of the solution and the flux, and
(3) the space of the Lagrange multiplier.

Last revised: 09/16/06 By: sgkim@math.tamu.edu